679630080 has 288 divisors, whose sum is σ = 2384121600. Its totient is φ = 164233216.

The previous prime is 679630067. The next prime is 679630123. The reversal of 679630080 is 80036976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892941 + ... + 1893299.

It is an arithmetic number, because the mean of its divisors is an integer number (8278200).

Almost surely, 2^679630080 is an apocalyptic number.

679630080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192060800).

679630080 is an abundant number, since it is smaller than the sum of its proper divisors (1704491520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

679630080 is a wasteful number, since it uses less digits than its factorization.

679630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 679630080 is about 26069.7157636979. The cubic root of 679630080 is about 879.2064471517.

The spelling of 679630080 in words is "six hundred seventy-nine million, six hundred thirty thousand, eighty".